GCF of 34/65, 393/64, 529/403
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/65, 393/64, 529/403 i.e 1/128960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/65, 393/64, 529/403.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 34/65,393/64,529/403?
Given fractions are 34/65,393/64,529/403
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 34/65,393/64,529/403, numerators are 34,393,529
Denominators are 65,64,403
The GCF of 34,393,529 is 1 .
LCM of 65,64,403 is 128960.
The greatest common factor of 34/65,393/64,529/403 = [GCF of 34,393,529]/[LCM of 65,64,403]= 1/128960
Therefore, the GCF of 34/65,393/64,529/403 is 1/128960.
To find the highest common factor of 34,393,529, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 393 are 1, 3, 131, 393
The factors of 529 are 1, 23, 529
The HCF of 34,393,529 is 1.
Lets's calculate GCF of 34,393,529
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,393,529 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 393
:1,3,131,393
Now, list down the factors of 529
:1,23,529
Greatest Common Factor
We found the factors 34,393,529 . The biggest common factor number is the GCF number.
So the greatest common factor 34,393,529 is 1.
Lets's calculate LCM of 65,64,403
| 13 | 65, 64, 403 |
| 5, 64, 31 |
∴ So the LCM of the given numbers is 13 x 5 x 64 x 31 = 128960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128960
Therefore, the GCF of Fractions 34/65,393/64,529/403 is 1/128960
Least Common Multiple of 65,64,403 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 65,64,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,64,403) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(65,64,403) x common factors =1 x 13 = 13
LCM(65,64,403) = ( 65 × 64 × 403 ) / 13
LCM(65,64,403) = 1676480 / 13
LCM(65,64,403) = 128960
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FAQs on GCF of Fractions of 34/65, 393/64, 529/403
1. What is the HCF of 34,393,529?
The HCF of 34,393,529 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 34/65, 393/64, 529/403?
Answer: GCF of Numerators as per given numbers 34/65, 393/64, 529/403 is
GCF of Numerators i.e. for 34,393,529 is 1
LCM of denominators i.e. for 65,64,403 is 128960.
Thus, GCF of Fractions is 1/128960.Finally, GCF of Fractions for 34/65, 393/64, 529/403 is 1/128960.